\begin{frame}{Network coding}{Random Linear Network Coding}
\begin{center}
\begin{align} &
\left[
\begin{array}{c}	
p_{1} \\
p_{2} \\
\vdots \\
p_{n}
\end{array}
\right]
=
\left[
\begin{array}{cccc}	
c_{11} & c_{21} & \cdots & c_{n1} \\
c_{12} & c_{22} & \cdots & c_{n2} \\
\vdots & \vdots & \ddots & \vdots \\
c_{1n} & c_{2n} & \cdots & c_{nn}
\end{array}
\right] \cdot
\left[
\begin{array}{c}	
x_{1} \\
x_{2} \\
\vdots \\
x_{n}
\end{array}
\right] \notag
\end{align}
\end{center}

\begin{itemize}
\item Transmitted packets = Linear combinations of source packets
\item Coded over finite fields
\item Probability of linear independency: 


\end{itemize}

\end{frame}